TRAVELING PLANE WAVE SOLUTIONS OF DELAYED LATTICE DIFFERENTIAL SYSTEMS IN COMPETITIVE LOTKA-VOLTERRA TYPE

摘要

In this work we consider the existence of traveling plane wave solutions of systems of delayed lattice differential equations in competitive Lotka-Volterra type. Employing iterative method coupled with the explicit construction of upper and lower solutions in the theory of weak quasi-monotone dynamical systems, we obtain a speed, c*, and show the existence of traveling plane wave solutions connecting two different equilibria when the wave speeds are large than c~*.